Problem

While many different apportionment methods have been devised and advocated, only four (H...

While many different apportionment methods have been devised and advocated, only four (Hamilton, Jefferson, Webster, and Huntington–Hill) have been implemented with the U.S. House of Representatives. One method was advocated in 1832 by John Quincy Adams, the sixth president of the United States, and bears his name. In Adams’ method, also known as the method of smallest divisors, a modified divisor is chosen so that all modified quotas can be rounded upward and have a sum that equals the number of seats to be apportioned; this is in contrast to Jefferson’s method, in which all modified quotas are rounded downward.

Use Adams’ method to apportion the 360 police officers in problem 15.

Problem 15:

The state of Delaware is divided into three counties: Kent, New Castle, and Sussex. The 2002 population totals for each county and the area of each county are given in the following table.

Suppose the 2002 state budget allows for 360 state police officers. How would the officers be apportioned to the three Delaware counties if Jefferson’s method is used and is based on population totals?

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Solutions For Problems in Chapter 5.2